The system of equations has one solution.
To solve this system, we can substitute y = (1/4)x - 3 into the first equation:
x - 4((1/4)x - 3) = 12
x - x + 12 = 12
12 = 12
This is a true statement, so any value of x will make the first equation true. Now, we can use the second equation to find the corresponding value for y:
y = (1/4)x - 3
y = (1/4)(x) - 3
Since x can be any real number, y can also be any real number. Therefore, the system of equations has one solution.
How many solutions does the system of equations have?
x-4y=12
y=1/4x-3
1 answer